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Finding the Fourth Proportional to 8,587.64, 12,884.22 and 3,661.49

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Solution

The fourth proportional to 8,587.64, 12,884.22 and 3,661.49 is: 5,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.64 : 12,884.22 = 3,661.49 : x
  2. Step 2: Convert to fraction form
    8,587.64/12,884.22 = 3,661.49/x
  3. Step 3: Cross multiply
    8,587.64x = 12,884.22 × 3,661.49
  4. Step 4: Simplify right side
    8,587.64x = 47,175,378.27
  5. Step 5: Solve for x
    x = 47,175,378.27/8,587.64
  6. Step 6: Final answer
    x = 5,493.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.